The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians.. 2022.
A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557.. 2015.
SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021.. 2011.
Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146.. 2007.
Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370.. 2006.
Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45.. 2005.
The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.. 2016.
Smoothing does not give a selection principle for transport equations with bounded autonomous fields. To appear in Annales Math'ematiques du Que'bec.. 0.
Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842.. 2002.
Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.. 2003.
Some remarks on the theory of elasticity for compressible Neohookean materials.. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 2:521–549.. 2003.
Structure of entropy solutions for multi-dimensional scalar conservation laws.. Archiv for Rational Mechanics and Analysis. 170:137–184.. 2003.
Structure of entropy solutions to the eikonal equation.. Journal of the European Mathematical Society. 5:107–145.. 2003.
Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602.. 2008.
Transport equation with integral terms. Calc. Var. Partial Differential Equations. 55(5):Art.128pp.17.. 2016.
On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5). 2019.
Uniqueness of tangent cones for 2-dimensional almost minimizing currents. Communications on Pure and Applied Mathematics. 70:1402–1421.. 2017.
Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361.. 2011.
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions.. Communications in Partial Differential Equations. 29:1635–1651.. 2004.